Add to ORKGAbstract. We apply the Rudin idea to represent the Bergman kernel of the Hartogs domain as the sum of a series of weighted Bergman functions in the study of the dependence of this kernel on deformations of the domain. We prove that the Bergman function depends smoothly on the function defining the Hartogs domain
The Beurling-Lax-Halmos theorem tells us that any invariant subspace ${\mathcal M}$ for the shift o...
We obtain a conceptually new differential geometric proof of P. F. Klembeck’s result (cf. [9])...
We obtain a conceptually new differential geometric proof of P. F. Klembeck’s result (cf. [9])...
In this note, we point out that a large family of n×n matrix valued kernel functions defined on the ...
AbstractFor a smoothly bounded strictly pseudoconvex domain, we describe the boundary singularity of...
summary:We investigate the Bergman kernel function for the intersection of two complex ellipsoids $\...
summary:We investigate the Bergman kernel function for the intersection of two complex ellipsoids $\...
The purpose of the paper is to study the operators on the weighted Bergman spaces on the unit disk $...
AbstractWe show that the Bergman kernel Kα(x,y) on a smoothly bounded strictly pseudoconvex domain w...
Let $\mu$ be a positive Borel measure on the interval [0,1). For $\beta > 0$, The generalized Hankel...
By means of Muckenhoupt type conditions, we characterize the weights $\omega$ on $\C$ such that the ...
In this paper we introduce new spaces of holomorphic functions on the pointed unit disc of $\mathbb ...
summary:We discuss the validity of the Helmholtz decomposition of the Muckenhoupt $A_{p}$-weighted $...
AbstractWe describe singularities of weighted Bergman kernels on the unit disc with respect to radia...
summary:We discuss the validity of the Helmholtz decomposition of the Muckenhoupt $A_{p}$-weighted $...
The Beurling-Lax-Halmos theorem tells us that any invariant subspace ${\mathcal M}$ for the shift o...
We obtain a conceptually new differential geometric proof of P. F. Klembeck’s result (cf. [9])...
We obtain a conceptually new differential geometric proof of P. F. Klembeck’s result (cf. [9])...
In this note, we point out that a large family of n×n matrix valued kernel functions defined on the ...
AbstractFor a smoothly bounded strictly pseudoconvex domain, we describe the boundary singularity of...
summary:We investigate the Bergman kernel function for the intersection of two complex ellipsoids $\...
summary:We investigate the Bergman kernel function for the intersection of two complex ellipsoids $\...
The purpose of the paper is to study the operators on the weighted Bergman spaces on the unit disk $...
AbstractWe show that the Bergman kernel Kα(x,y) on a smoothly bounded strictly pseudoconvex domain w...
Let $\mu$ be a positive Borel measure on the interval [0,1). For $\beta > 0$, The generalized Hankel...
By means of Muckenhoupt type conditions, we characterize the weights $\omega$ on $\C$ such that the ...
In this paper we introduce new spaces of holomorphic functions on the pointed unit disc of $\mathbb ...
summary:We discuss the validity of the Helmholtz decomposition of the Muckenhoupt $A_{p}$-weighted $...
AbstractWe describe singularities of weighted Bergman kernels on the unit disc with respect to radia...
summary:We discuss the validity of the Helmholtz decomposition of the Muckenhoupt $A_{p}$-weighted $...
The Beurling-Lax-Halmos theorem tells us that any invariant subspace ${\mathcal M}$ for the shift o...
We obtain a conceptually new differential geometric proof of P. F. Klembeck’s result (cf. [9])...
We obtain a conceptually new differential geometric proof of P. F. Klembeck’s result (cf. [9])...